DocumentCode
1124065
Title
Generalized Multivariate Rectangular Matrix PadÉ-Type Approximants
Author
Zheng, Cheng-De ; Zhang, Huaguang
Author_Institution
Dalian Jiaotong Univ., Dalian
Volume
54
Issue
9
fYear
2007
Firstpage
2099
Lastpage
2105
Abstract
A new method for the construction of generalized multivariate rectangular matrix Pade-type approximants on a rectangular grid is introduced in this paper, by choosing an arbitrary monic bivariate polynomial as the generating one of the approximant. We discuss their several typical important properties and study the connection between bivariate rectangular matrix Pade-type approximants and Pade approximants. The arguments given in detail in two variables can extend directly to the case of d variables (d ges 2).
Keywords
approximation theory; matrix algebra; polynomials; Pade-type approximant; bivariate polynomial; bivariate rectangular matrix; generalized multivariate rectangular matrix; Approximation methods; Educational institutions; Information science; MIMO; Mesh generation; Network synthesis; Physics; Polynomials; Scattering; Signal design; Covariance; generalized multivariate PadÉ approximant; generating polynomial; rectangular matrix PadÉ-type approximant;
fLanguage
English
Journal_Title
Circuits and Systems I: Regular Papers, IEEE Transactions on
Publisher
ieee
ISSN
1549-8328
Type
jour
DOI
10.1109/TCSI.2007.902617
Filename
4303313
Link To Document